Q #1

Consumer Banker Association released a report showing the lengths of automobile leases for new automobiles. The results are as follows. Lease Length in Months Percent of Leases 13-24 25-36 39.4% 37-48 28.9% 49-60 18.2% More than 60 0.2% (a) Use the midpoint of each class, and call the midpoint of the last class 66.5 months, for purposes of computing the expected lease term. Also find the standard deviation of the distribution. (Round your answers to two decimal places.) expected lease term months standard deviation (b) Sketch a graph of the probability distribution for the duration of new auto leases. 30- of Leases 20- * of Leases 20- 10 18.5 30.5 42 5 54.5 66.5 18.5 30.5 42 5 5 54.5 665 base Length in Months ease Length in Months O O 30 of Leases 20- of Leases 20 18.5 30.5 42 5 54.5 66.5 18.5 30.5 42 5 54.5 66.5 ease Length in Months ease Length in Months O OState Farm Insurance studies show that in Colorado, 45% of the auto insurance claims submitted for property damage were submitted by males under 25 years of age. Suppose 12 property damage claims involving automobiles are selected at random. (a) Let r be the number of claims made by males under age 25. Make a histogram for the r-distribution probabilities. 025- 0.2 02- 0.15- 0.15 - P (r) P (F) 01 0.1- 0.05 0.05 0 0 123456 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 O O 0.5 0.2- 0.4 0.15 P(I) 0.3 P (F) 0.1- 0.2 0.05 0.1 0 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 O O [b) What is the probability that two or more claims are made by males under age 25? (Use 3 decimal places.) (c) What is the expected number of claims made by males under age 25? What is the standard deviation of the r-probability distribution? (Round your standard deviation to two decimal places.) Submit Answer9. [-/10 Points] DETAILS BBUNDERSTAT12 6.R.011. Given that x is a normal variable with mean A = 42 and standard deviation 7 = 6.3, find the following probabilities. (Round your answers to four decimal places.) (a) P(x = 60) (b) P(x 2 50) (c) P(50 s x = 60) Submit Answer10. [-/10 Points] DETAILS BBUNDERSTAT12 6.R.015. Blood type AB is found in only 3% of the population. If 310 people are chosen at random, find the probability of the following. (Use the normal approximation. Round your answers to four decimal places.) (a) 5 or more will have this blood type (b) between 5 and 10 will have this blood type Submit